Jean-Louis Koszul, Yi Ming Zou

Introduction to Symplectic Geometry (eBook, PDF)

• Format: PDF

Produktbeschreibung

This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the differential properties of graded symplectic manifolds of dimensions (0,n). It is a useful reference resource for students and researchers interested in geometry, group theory, analysis and differential equations.

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Produktdetails

• Verlag: Springer-Verlag GmbH
• Seitenzahl: 121
• Erscheinungstermin: 15. April 2019
• Englisch
• ISBN-13: 9789811339875
• Artikelnr.: 56303597

Autorenporträt

Jean Louis Koszul, born in 1921, was a French Mathematician. He was a member of 2^nd generation of Bourbaki, also a member of French Academy of Sciences. Jean-Louis Koszul passed away on January 12^th 2018, at the age of 97.

Inhaltsangabe

Some Algebra Basics.- Symplectic Manifolds.- Cotangent Bundles.- Symplectic G-spaces.- Poisson Manifolds.- A Graded Case.

Rezensionen

"This book is of great interest for the emerging field of Geometric Science of Information, in which the generalization of the Fisher metric is at the heart of the extension of classical tools from Machine Learning and Artificial Intelligence to deal with more abstract objects living in homogeneous manifolds, groups, and structured matrices.'" (Pablo Suárez-Serrato, zbMATH 1433.53002, 2020)